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zhenek [66]
2 years ago
13

Please help I can't understand and my teacher is not explaining properly.

Mathematics
1 answer:
ludmilkaskok [199]2 years ago
7 0

Answer:

B=100

Step-by-step explanation:

The given circle is

Consider the triangle AOB, Using the triangle sum property, we get

AOB+AOB+BOA=180

Substitute ABO=55 and BAO=45 we get

AOB+55+45=180

AOB+100=180

AOB+100-100=180-100

AOB=80

Here AOB and AOC are supplementary angles

The sum of the supplementary angles is 180 degrees.

AOB+AOC=180

Substitute AOB=80 we get

80+AOC=180

80+ AOC-80=180-80

AOC=100

Now consider the Central angle AOC  and intercepted arc AC.

mAOC=mAC

Substitute m AOC=100 and mAC=b we get

100=b

Hence the value of b is 100 degrees.

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2 years ago
8.1 = 0.9a, how do you solve?
GrogVix [38]

Answer:

a = 9

Step-by-step explanation:

Simplifying

8.1 = 0.9a

Solving

8.1 = 0.9a

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-0.9a' to each side of the equation.

8.1 + -0.9a = 0.9a + -0.9a

Combine like terms: 0.9a + -0.9a = 0.0

8.1 + -0.9a = 0.0

Add '-8.1' to each side of the equation.

8.1 + -8.1 + -0.9a = 0.0 + -8.1

Combine like terms: 8.1 + -8.1 = 0.0

0.0 + -0.9a = 0.0 + -8.1

-0.9a = 0.0 + -8.1

Combine like terms: 0.0 + -8.1 = -8.1

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Divide each side by '-0.9'.

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